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LCM of 716, 592, 368, 163, 978

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 716, 592, 368, 163, 978 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 716, 592, 368, 163, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 716,592,368,163,978

Given numbers are 716,592,368,163,978

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 716,592,368,163,978 is 1191822096.

Find LCM of 716,592,368,163,978 with Prime Factorization


2 716, 592, 368, 163, 978
2 358, 296, 184, 163, 489
2 179, 148, 92, 163, 489
2 179, 74, 46, 163, 489
163 179, 37, 23, 163, 489
179, 37, 23, 1, 3

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 2 x 163 x 179 x 37 x 23 x 1 x 3 = 1191822096

Therefore, the lowest common multiple of 716,592,368,163,978 is 1191822096.

LCM Formula to Find Lowest Common Multiple of 716,592,368,163,978

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

716 x 592 x 368 x 163 x 978 = 24866176210944

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

716 : 1, 2, 4, 179, 358, 716

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

163 : 1, 163

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,592,368,163,978, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

592:2x 2x 2x 2x 37

368:2x 2x 2x 2x 23

163:163

978:2x 3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 2x 163 = 20864

Therefore, the value for common factors is 20864.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 24866176210944/(1x20864)

LCM = 24866176210944/20864

LCM = 1191822096

Thus, we can understand that the LCM of 716,592,368,163,978 is 1191822096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 716, 592, 368, 163, 978

1. What is the LCM of 716, 592, 368, 163, 978?

Answer: LCM of 716, 592, 368, 163, 978 is 1191822096.

2. How to calculate the LCM of 716, 592, 368, 163, 978?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 716, 592, 368, 163, 978.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.